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The writhes of a virtual knot

Tom 225 / 2014

Shin Satoh, Kenta Taniguchi Fundamenta Mathematicae 225 (2014), 327-341 MSC: Primary 57M25; Secondary 57Q35. DOI: 10.4064/fm225-1-15

Streszczenie

Kauffman introduced a fundamental invariant of a virtual knot called the odd writhe. There are several generalizations of the odd writhe, such as the index polynomial and the odd writhe polynomial. In this paper, we define the $n$-writhe for each non-zero integer $n$, which unifies these invariants, and study various properties of the $n$-writhe.

Autorzy

  • Shin SatohDepartment of Mathematics
    Kobe University
    Rokkodai-cho 1-1
    Nada-ku, Kobe 657-0013, Japan
    e-mail
  • Kenta TaniguchiDepartment of Mathematics
    Kobe University
    Rokkodai-cho 1-1
    Nada-ku, Kobe 657-0013, Japan

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